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 Find Fifty (Posted on 2010-11-06)
(I) N is a duodecimal (base 12) 50 digit positive integer of the form XX....Y, where X is repeated precisely 49 times followed by Y, such that N is divisible by the duodecimal number 137. Each of X and Y is a different duodecimal digit from 1 to B.

Determine the possible value(s) of N.

(II) P is a duodecimal (base 12) 50 digit positive integer of the form XX....Y, where X is repeated precisely 49 times followed by Y, such that P is divisible by the duodecimal number 147. Each of X and Y is a different duodecimal digit from 1 to B.

Determine the possible value(s) of P.

 No Solution Yet Submitted by K Sengupta Rating: 3.0000 (1 votes)

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 re: solution | Comment 2 of 3 |
(In reply to solution by Charlie)

Note, the programs shown allowed Y to be zero, but no cases were found where that was the case, so KS's conditions were met.
 Posted by Charlie on 2010-11-06 18:34:54

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